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Fish181
Joined: 13 Dec 2023
Last visit: 22 Jan 2025
Posts: 137
Given Kudos: 53
Status:Applying in R1 of 2024 to t15
Affiliations: University of Tennessee
Location: United States (CO)
Concentration: Strategy, Finance
GMAT Focus 1: 605 Q76 V84 DI80 
GMAT Focus 2: 615 Q78 V86 DI78
GPA: 3.62
WE:Analyst (Consumer Packaged Goods)
GMAT Focus 2: 615 Q78 V86 DI78
Posts: 137
A
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Difficulty:
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Question Stats:
81% (01:49) correct
19%
(02:09)
wrong
based on 270
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The symbol \( \binom{n}{r}\) is defined for positive integers n and r, where n > r, by the equation \( \binom{n}{r}= \frac{n!}{r!(n-r)!}\). Which of the following equals \( \binom{17}{6}\)?
A. \(\frac{17}{6} \binom{16}{5}\)
B. \(17 \binom{16}{6}\)
C. \(\binom{18}{5}\)
D. \(\binom{23}{17}\)
E. \(\binom{16}{5}\)
GMAT-Club-Forum-hwz00g85.png [ 7.88 KiB | Viewed 1048 times ]
GMAT-Club-Forum-oo663cjv.png [ 3.82 KiB | Viewed 1066 times ]
A. \(\frac{17}{6} \binom{16}{5}\)
B. \(17 \binom{16}{6}\)
C. \(\binom{18}{5}\)
D. \(\binom{23}{17}\)
E. \(\binom{16}{5}\)
\( \binom{n}{r}\)
Attachment:
GMAT-Club-Forum-hwz00g85.png [ 7.88 KiB | Viewed 1048 times ]
Attachment:
GMAT-Club-Forum-oo663cjv.png [ 3.82 KiB | Viewed 1066 times ]
26 May 2024, 12:54
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Fish181
The symbol \( \binom{n}{r}\) is defined for positive integers n and r, where n > r, by the equation \( \binom{n}{r}= \frac{n!}{r!(n-r)!}\). Which of the following equals \( \binom{17}{6}\)?
A. \(\frac{17}{6} \binom{16}{5}\)
B. \(17 \binom{16}{6}\)
C. \(\binom{18}{5}\)
D. \(\binom{23}{17}\)
E. \(\binom{16}{5}\)
A. \(\frac{17}{6} \binom{16}{5}\)
B. \(17 \binom{16}{6}\)
C. \(\binom{18}{5}\)
D. \(\binom{23}{17}\)
E. \(\binom{16}{5}\)
\( \binom{n}{r}\)
\( \binom{17}{6} = \)
\(=\frac{ 17!}{6!(17-6)!}= \)
\(=\frac{ 17!}{6!11!}= \)
\(=\frac{ 17*16!}{(6*5!)11!}= \)
\(=\frac{17}{6}*\frac{ 16!}{5!11!}= \)
\(= \frac{17}{6} \binom{16}{5}\)
Attachment:
GMAT-Club-Forum-rcw9kcxe.png [ 7.88 KiB | Viewed 1061 times ]
Attachment:
GMAT-Club-Forum-7dns5ksu.png [ 3.82 KiB | Viewed 1056 times ]
General Discussion
26 May 2024, 10:36
Kudos
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Fish181
The symbol C(n, r) is defined for positive integers n and r, where n > r, by the equation C(n, r) = n! / [r!(n-r)!]. Which of the following equals C(17, 6)?
a. C(17, 6) / C(16, 5)
b. C(17, 6)
c. C(18, 5)
d. C(23, 17)
e. C(16, 5)
What is the source of the question? Thank you! a. C(17, 6) / C(16, 5)
b. C(17, 6)
c. C(18, 5)
d. C(23, 17)
e. C(16, 5)
